Volume of a Cubic Foot
The volume of a cubic foot is the capacity of a cube having the length of sides as one foot. To find the volume of a cubic foot, let us first understand what is a cubic foot. A cubic foot is a unit of measurement of a unit volume used mainly in the United States and the United Kingdom. Let's now discuss this in detail along with solved examples.
What is Volume of a Cubic Foot?
The volume of a cubical foot is defined as the volume of a cube with sides of one foot in length. A cubic foot is a unit used to measure a unit volume. In the plural form, it is used as cubic feet. A cubic foot is also used as a measuring unit of unit rate of flow in the case of rivers and also in the case of gases. In the case of solids, a cubical foot helps us to measure its volume using its dimensions in 3D.
Formula of Volume of a Cubic Foot
We already know that volume of any solid is defined as the number of cubic units occupied by it. Therefore, the unit of 'volume' is "cubic units". For example, it can be expressed as m^{3}, cm^{3}, in^{3}, etc depending upon the given units. For any solid with dimensions:
 Length 'l' ft
 Breadth 'b' ft
 Height 'h' ft
The volume of cubic foot = l × b × h = lbh ft^{3} or cubic foot
How Can We Find the Volume of a Cubic Foot?
 Step 1: Identify the length, breadth, and height of the solid in feet.
 Step 2: Find the product of the three dimensions to get the volume.
 Step 3: Now represent the volume obtained in cubic feet.
Conversion of Volume of a Cubic Foot Into Other Units
To find the volume of a cubic foot, it is not mandatory that the unit of the dimensions must be in feet. In fact, we can have the dimensions in any unit and then convert them to feet. Let's take a look at the different scenarios one by one.
Units  Conversion to Cubic Foot 

Cubic yard to cubic foot  As 1 yard = 3 feet, thus, 1 cubic yard = 27 cubic feet 
Cubic inch to cubic foot  As 1 inch = 0.0833 foot, thus, 1 cubic inch = 0.000578 cubic foot 
Cubic meters to cubic foot  As 1 m = 3.28084 feet, thus, 1 cubic meter = 35.3147 cubic feet 
Using these measures, we can find the volume of a cubic foot of a dimension of any unit.
Example: Find the volume of a box having dimensions 3 m × 4 m × 5 m.
Solution: Given dimensions of box area, 3 m × 4 m × 5 m.
The volume of box, V = 3 m × 4 m × 5 m = 60 m^{3}
We know that 1 cubic meter = 35.3147 cubic feet.
Thus, 60 m^{3} = 2,118.882 cubic feet.
The volume of the box is 2,118.882 cubic feet.
Solved Examples on Volume of a Cubic Foot

Example 1: Find the volume of a box of dimensions 2 ft × 4.5 ft × 5 ft.
Solution: To find the volume of a cubic foot, we will first have to measure the three dimensions, that is, length, breadth, and height of the solid in feet, and then find the product of the three dimensions to get the volume, therefore,
Thus, volume of the box = 2 × 4.5 × 5 = 45 ft^{3} or cubic feet.

Example 2: If the dimensions of an embankment are 9 in × 3.6 in × 7.5 in, how much sand will be required to fill it. Find the answer in cubic feet.
Solution: To find the quantity of sand required to fill the embankment, we will have to find the volume of the embankment, that is,
Volume of the embankment = 9 × 3.6 × 7.5 = 243 in^{3}.
∵ 1 cubic in = 27 cubic feet
∴ 243 in^{3} = 6561 ft^{3}
Thus, the volume of the embankment is 6561 cubic feet.
FAQs on Volume of a Cubical Foot
What is the Volume of a Cubic Foot?
The volume of a cubical foot is the volume of a cube with sides of one foot in length. A cubic foot is a unit to measure the unit volume of any solid. To calculate cubic feet, we will have to find the volume of a solid with dimensions in feet.
What is the Formula of Volume of a Cubic Foot?
The formula of volume of a cubic foot is given as V = l × b × h = lbh ft^{3} or cubic foot where "V", "l", "b" and "h" are volume of a cubic foot, length of the cube (in ft), breadth of the cube (in ft) and height of the cube (in ft).
How to Find Volume of a Cubic Foot?
We can find the volume of a cubic foot using the following steps:
 Step 1: Identify the length, breadth, and height of the solid in feet.
 Step 2: Find the product of the three dimensions to get the volume.
 Step 3: Now represent the volume obtained in cubic feet.
How To Calculate Volume of a Cubic Foot From Yards?
We can find the volume of a cubic foot from yards using the following steps:
 Step 1: Identify the length, breadth, and height of the solid in yards.
 Step 2: Find the product of the three dimensions to get the volume.
 Step 3: Now, as we know, 1 cubic yard is 27 cubic feet, convert the obtained volume into cubic feet.
How To Calculate Volume of a Cubic Foot From Metres?
We can find the volume of a cubic foot from meters using the following steps:
 Step 1: Identify the length, breadth, and height of the solid in meters.
 Step 2: Find the product of the three dimensions to get the volume.
 Step 3: Now, as we know, 1 cubic meter is 35.3147 cubic feet, convert the obtained volume into cubic feet.
How To Calculate Volume of a Cubic Foot From Inches?
We can find the volume of a cubic foot from inches using the following steps:
 Step 1: Identify the length, breadth, and height of the solid in inches.
 Step 2: Find the product of the three dimensions to get the volume.
 Step 3: Now, as we know, 1 cubic inch is 0.000578 cubic foot, convert the obtained volume into cubic feet.